The coordinates for the endpoints of lm are l (-2, -3) and m (4, 5). lm is dilated by a scale factor of ( 1/ 2) from center of dilation (3, -2) to form segment l′ m′ . which statement is not true? the length of segment l′ m′ is one-half the length of segment lm . the length of segment l′ m′ is twice the length of segment lm . the slope of segment l′ m′ is the same as the slope of segment lm . segment l′ m′ is parallel to segment lm .

Dilation is a transformation that preserves angles. This means that:

where O(3,-2) is a center of dilation.

These pairs of congruent angles are alternate angles formed with lines LM and L'M' and two transversals OL and OL'. Thus, lines LM and L'M' must be parallel. So option D is true.

If lines LM and L'M' are parallel, then their slopes are equal and option C is true.

Now, since a scale factor is 1/2, the image segment L'M' has length that is one-half of the length of segment LM. Therefore, option A is true and option B is false.

statement B is false.

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.